Thank you for your question. Muraqabah (sometimes translated as supervising) is a higher state of consciousness in which a person looks over themselves. For each stage of muraqabah a person has to be aware of themselves in the level above the level they are supervising. So, for example, if someone is supervising their speech they need to be aware on the level of their mind to check what they are about to say, to be aware as they speak or to at least be aware of something they just said.
The first stage of muraqabah is where someone watches over their actions and ensures that they are in line with the teachings of the school of Ahl al-Bayt (as). The levels then progress according to the levels and stations of the human. The next stage is muraqabah over intentions and ensuring that all actions are done for the sake of Allah, including the mundane. Then it is to be aware of the deeper causes behind your actions and intentions. Then to always be in the remembrance of God, and so on. There are many levels of muraqabah and many types of muraqabah depending on what is lacking within the individual. In the literature muraqabah is sometimes classified in the levels of the soul, from the body, to the heart, intellect, spirit, the secret, the hidden and the most hidden. The final stages of this classification is an expression of ever more delicate levels of the remembrance of God.
It is also worth mentioning that some scholars have included muraqaba in a system of self improvement, starting with making a condition on ones self (musharatah), followed by supervising ones commitment to that condition throughout the day (muraqabah) and then assessing your success in following the condition (muhasibah)
May you always be successful.